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Finding the Third Proportional to 221,498,685 and 482,853,258

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Solution

The third proportional to 221,498,685 and 482,853,258 is: 1,052,589,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,498,685 : 482,853,258 = 482,853,258 : x
  2. Step 2: Convert to fraction form
    221,498,685/482,853,258 = 482,853,258/x
  3. Step 3: Cross multiply
    221,498,685x = 482,853,258 × 482,853,258
  4. Step 4: Simplify right side
    221,498,685x = 233,147,268,761,214,560
  5. Step 5: Solve for x
    x = 233,147,268,761,214,560/221,498,685
  6. Step 6: Final answer
    x = 1,052,589,855.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.